GCD of 825, 348, 261, 240 Calculator

Given Input numbers are 825, 348, 261, 240

In the factoring method, we have to find the divisors of all numbers

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (825, 348, 261, 240) = 3.

Given numbers are 825, 348, 261, 240

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 261 are 3 x 3 x 29

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 825, 348, 261, 240 is 3.

Given numbers are 825, 348, 261, 240

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(825, 348) = 95700

GCD(825, 348) = ( 825 x 348 ) / 95700

= 825 / 348

= 825

Step2:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 825, 348, 261, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 981, 421, 418
• GCD of 901, 672, 702, 556
• GCD of 936, 275, 200, 615
• GCD of 148, 713, 616, 342
• GCD of 402, 472, 681, 393

Given numbers are 825, 348, 261, 240
The greatest common divisor of numbers 825, 348, 261, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 348, 261, 240 is 3.

1. What is the GCD of 825, 348, 261, 240?

GCD of given numbers 825, 348, 261, 240 is 3

2. How to calculate the greatest common divisor of 825, 348, 261, 240?

We can find the highest common divisor of 825, 348, 261, 240 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 825, 348, 261, 240 i.e 3.

3. How can I use the GCD of 825, 348, 261, 240Calculator?

Out the numbers 825, 348, 261, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.